Bounds for the Kirchhoff index of regular graphs via the spectra of their random walks

Using probabilistic tools, we give tight upper and lower bounds for the Kirchhoff index of any d‐regular N‐vertex graph in terms of d, N, and the spectral gap of the transition probability matrix associated to the random walk on the graph. We then use bounds of the spectral gap of more specialized graphs, available in the literature, in order to obtain upper bounds for the Kirchhoff index of these specialized graphs. As a byproduct, we obtain a closed‐form formula for the Kirchhoff index of the d‐dimensional cube in terms of the first inverse moment of a positive binomial variable. © 2009 Wiley Periodicals, Inc. Int J Quantum Chem, 2010     

A Second-generation photocage for Zn2+ inspired by TPEN: characterization and insight into the uncaging quantum yields of ZinCleav chelators

Photocages have been used to elucidate the biological functions of various small molecules and Ca²⁺; however, there are very few photocages available for other metal ions. ZinCleav‐2 (1‐(4,5‐dimethoxy‐2‐nitrophenyl)‐N,N,N′,N′‐tetrakis‐pyridin‐2‐ylmethyl‐ethane‐1,2‐diamine) is a second‐generation photocage for Zn²⁺ that releases the metal ion after a light‐induced bifurcation of the chelating ligand. The structure of ZinCleav‐2 was inspired by TPEN (N,N,N′,N′‐tetrakis(2‐pyridylmethyl)ethylenediamine), which is routinely used to sequester metal ions in cells owing to its high binding affinity. Inclusion of a 2‐nitrobenzyl chromophore leads to the formation of two more weakly binding di‐(2‐picolyl)amine (DPA) fragments upon photolysis of the TPEN backbone. The desired ligand was prepared using a modified procedure used to access ZinCleav‐1 (1‐(4,5‐dimethoxy‐2‐nitrophenyl)‐N,N′‐dimethyl‐N,N′‐bis‐pyridin‐2‐ylmethyl‐ethane‐1,2‐diamine). ZinCleav‐2 has a conditional dissociation constant (K_d) of ～0.9 fM as measured by competitive titration with a quinoline‐based fluorescent sensor for Zn²⁺. The K_d of the Zn²⁺ complex of the DPA photoproducts is ～158 nM ; therefore, the ΔK_d for ZinCleav‐2 photocage is ～10⁸. A large ΔK_d is required to significantly perturb free metal ion concentrations in biological assays. The quantum yield of photolysis of apo ZinCleav‐2 and the [Zn(ZinCleav‐2)]²⁺ complex are 4.7 and 2.3 %, respectively, as determined by HPLC analysis. Proof of concept Zn²⁺ release upon photolysis of [Zn(ZinCleav‐2)]²⁺ was demonstrated using the fluorescent sensor Zinpyr‐1, and the speciation of Zn²⁺ complexes was simulated using computational methods. The influence of benzylic substituents on the quantum yield of uncaging is also analyzed with the aim of tuning the photochemical properties caged complexes for in vivo experiments.     

Investigation into the reaction of 2‐amino‐4,5‐dimethylthiophene‐3‐carboxamide with iso(and isothio)cyanates under microwave irradiation

The reaction of 2‐amino‐4,5‐dimethyl‐ thiophene‐3‐carboxamide with iso(and isothio) cyanates for the synthesis of thieno[2,3‐d]pyrimidines has been investigated. The reactions under microwave irradiation in the presence of N,N‐dimethyl acetamide as solvent gave 5,6‐dimethylthieno[2,3‐d]pyrimidine‐2,4(1H,3H)‐dione, 5,6‐dimethyl‐2‐thioxo‐2,3‐dihy‐ drothieno[2,3‐d]pyrimidin‐4(1H)‐one, and 2‐aryla‐ mino‐5,6‐dimethylthieno[2,3‐d]pyrimidin‐4(3H)‐one derivatives. These reactions probably proceed through intermediates 4,5‐dimethyl‐2‐substitutedcarbamoth‐ ioylaminothiophene‐3‐carboxamides. Two of these intermediates were isolated. © 2009 Wiley Periodicals, Inc. Heteroatom Chem 20:346–349, 2009; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/hc.20557     

Efficient New Synthesis of N‐Arylbenzo[b]furo[3,2‐d]pyrimidin‐4‐amines and Their Benzo[b]thieno[3,2‐d]pyrimidin‐4‐amine Analogues via a Microwave‐Assisted Dimroth Rearrangement

A useful and rapid access to libraries of N‐arylbenzo[b]furo[3,2‐d]pyrimidin‐4‐amines ( 1 ) and their novel benzo[b]thieno[3,2‐d]pyrimidin‐4‐amine analogues ( 2 ) was investigated for the first time. Title compounds were obtained via microwave‐accelerated condensation and Dimroth rearrangement of suitable anilines with N′‐(2‐cyanaryl)‐N,N‐dimethylformimidamides obtained by reaction of benzo[b]furane and benzo[b]thiophene precursors with N,N‐dimethylformamide dimethyl acetal. This work also demonstrates that well‐controlled parameters offer comfortable use of microwave technology and are both safe and beneficial to the environment. Some products obtained in this article exhibit interesting in vitro antiproliferative effects.     

On the Nitroxide Quasi‐Equilibrium in the Alkoxyamine‐Mediated Radical Polymerization of Styrene

Summary: The range of validity of two popular versions of the nitroxide quasi‐equilibrium (NQE) approximation used in the theory of kinetics of alkoxyamine mediated styrene polymerization, are systematically tested by simulation comparing the approximate and exact solutions of the equations describing the system. The validity of the different versions of the NQE approximation is analyzed in terms of the relative magnitude of (dN/dt)/(dP/dt). The approximation with a rigorous NQE, k_c[P][N] = k_d[P N], where P, N and P N are living, nitroxide radicals and dormant species respectively, with kinetic constants k_c and k_d, is found valid only for small values of the equilibrium constant K (10⁻¹¹–10⁻¹² mol · L⁻¹) and its validity is found to depend strongly of the value of K. On the other hand, the relaxed NQE approximation of Fischer and Fukuda, k_c[P][N] = k_d[P N]₀ was found to be remarkably good up to values of K around 10⁻⁸ mol · L⁻¹. This upper bound is numerically found to be 2–3 orders of magnitude smaller than the theoretical one given by Fischer. The relaxed NQE is a better one due to the fact that it never completely neglects dN/dt. It is found that the difference between these approximations lies essentially in the number of significant figures taken for the approximation; still this subtle difference results in dramatic changes in the predicted course of the reaction. Some results confirm previous findings, but a deeper understanding of the physico‐chemical phenomena and their mathematical representation and another viewpoint of the theory is offered. Additionally, experiments and simulations indicate that polymerization rate data alone are not reliable to estimate the value of K, as recently suggested.

Validity of the rigorous nitroxide quasi‐equilibrium assumption as a function of the nitroxide equilibrium constant.     

Eight 7‐benzyl‐3‐tert‐butyl‐1‐phenylpyrazolo[3,4‐d]oxazines,encompassing structures containing no intermolecular hydrogen bonds,and hydrogen‐bonded structures in one,two or three dimensions

7‐Benzyl‐3‐tert‐butyl‐1‐phenyl‐6,7‐dihydro‐1H,4H‐pyrazolo[3,4‐d][1,3]oxazine, C₂₂H₂₅N₃O, (I), and 3‐tert‐butyl‐7‐(4‐methylbenzyl)‐1‐phenyl‐6,7‐dihydro‐1H,4H‐pyrazolo[3,4‐d][1,3]oxazine, C₂₃H₂₇N₃O, (II), are isomorphous in the space group P2₁, and molecules are linked into chains by C—H...O hydrogen bonds. In each of 3‐tert‐butyl‐7‐(4‐methoxybenzyl)‐1‐phenyl‐6,7‐dihydro‐1H,4H‐pyrazolo[3,4‐d][1,3]oxazine, C₂₃H₂₇N₃O₂, (III), which has cell dimensions rather similar to those of (I) and (II), also in P2₁, and 3‐tert‐butyl‐1‐phenyl‐7‐[4‐(trifluoromethyl)benzyl]‐6,7‐dihydro‐1H,4H‐pyrazolo[3,4‐d][1,3]oxazine, C₂₃H₂₄F₃N₃O, (IV), there are no direction‐specific interactions between the molecules. In 3‐tert‐butyl‐7‐(4‐nitrobenzyl)‐1‐phenyl‐6,7‐dihydro‐1H,4H‐pyrazolo[3,4‐d][1,3]oxazine, C₂₂H₂₄N₄O₃, (V), a combination of C—H...O and C—H...N hydrogen bonds links the molecules into complex sheets. There are no direction‐specific interactions between the molecules of 3‐tert‐butyl‐7‐(2,3‐dimethoxybenzyl)‐1‐phenyl‐6,7‐dihydro‐1H,4H‐pyrazolo[3,4‐d][1,3]oxazine, C₂₄H₂₉N₃O₃, (VI), but a three‐dimensional framework is formed in 3‐tert‐butyl‐7‐(3,4‐methylenedioxybenzyl)‐1‐phenyl‐6,7‐dihydro‐1H,4H‐pyrazolo[3,4‐d][1,3]oxazine, C₂₃H₂₅N₃O₃, (VII), by a combination of C—H...O, C—H...N and C—H...π(arene) hydrogen bonds, while a combination of C—H...O and C—H...π(arene) hydrogen bonds links the molecules of 3‐tert‐butyl‐1‐phenyl‐7‐(3,4,5‐trimethoxybenzyl)‐6,7‐dihydro‐1H,4H‐pyrazolo[3,4‐d][1,3]oxazine, C₂₅H₃₁N₃O₄, (VIII), into complex sheets. In each compound, the oxazine ring adopts a half‐chair conformation, while the orientations of the pendent phenyl and tert‐butyl substituents relative to the pyrazolo[3,4‐d]oxazine unit are all very similar.     

An Exceptionally Simple Chemical Synthesis of O‐Glycosylated d‐Glucosamine Derivatives by Heyns Rearrangement of the Corresponding O‐Glycosyl Fructoses

2‐N‐Acetyl‐4‐O‐(β‐d‐galactopyranosyl)‐d‐glucosamine (N‐acetyl‐d‐lactosamine), a very important building block of biologically relevant oligosaccharides such as sialyl Lewis^x, is easily accessible via the Heyns rearrangement of the corresponding O‐glycosylated ketohexose, d‐lactulose. This approach can also be extended to other glucosamine derivatives employing suitable O‐glycosylated ketoses many of which are commercially available. For example, nigerosamine (3‐O‐α‐d‐glucopyranosyl‐d‐glucosamine) was prepared from turanose (3‐O‐α‐d‐glucopyranosyl‐d‐fructose). In combination with a recently introduced vinylogous amide type N‐protecting group, [1,3‐dimethyl‐2, 4, 6 (1H, 3H, 5H)‐trioxopyrimidine‐5‐ylidene] methyl (DTPM), this access is clearly superior to other routes and eminently suitable for scaling up.     

Alternating Stereoregular Head,Tail–Tail,Head‐Poly(Alkylene d‐Glucaramides) Derived from a Homologous Series of Symmetrical Diamido‐di‐d‐Glucaric Acid Monomers

A method for the synthesis and purification of a homologous series of symmetrical diamido‐diacids derived from d‐glucaric acid and six alkylenediamines is described. Treating d‐glucaro‐6,3‐lactone with an equimolar amount of lithium acetate dihydrate yielded lithium d‐glucarate‐6,3‐lactone, which in turn was reacted with six alkylenediamines in dimethyl sulfoxide to give the target diamido‐diacids. Six new alternating stereoregular polyamides, head, tail–tail, head‐poly(alkylene d‐glucaramides), were then synthesized by simple polycondensation reactions between the activated diamido‐diacids [6,6′‐(N,N′‐alkylene)‐bis(d‐glucaramid‐1‐oic acid)s] and the alkylenediamines. Number average molecular weights for the polyamides were estimated by ¹H NMR end group analysis. Models for the three‐dimensional shape of these alternating stereoregular polymers were produced from a combination of ¹H NMR data, molecular modeling studies performed on d‐glucaramide, and crystal structures of various acyclic d‐glucaric acid derivatives.     

Intermolecular stacking in pyrazolo[3,4‐d]pyrimidine‐based pentamethylene‐linked flexible ­molecules

The crystal structures of 1‐{5‐[4,6‐bis­(methyl­sulfanyl)‐2H‐py­razolo­[3,4‐d]­pyrimidin‐2‐yl]­pentyl}‐6‐methyl­sulfanyl‐4‐(pyr­rolidin‐1‐yl)‐1H‐pyrazolo­[3,4‐d]­pyrimidine, C₂₂H₂₉N₉S₃, and 6‐methyl­sulfanyl‐1‐{5‐[6‐methyl­sulfanyl‐4‐(pyrrolidin‐1‐yl)‐2H‐pyrazolo­[3,4‐d]­pyrimidin‐2‐yl]­pentyl}‐4‐(pyrrolidin‐1‐yl)‐1H‐pyrazolo­[3,4‐d]­pyrimidine, C₂₅H₃₄N₁₀S₂, which differ in having either a pyrrolidine substituent or a methylsulfanyl group, show intermolecular stacking due to aromatic π–π interactions between the pyrazolo­[3,4‐d]­pyrimidine rings.     

A concise and efficient synthesis of amino‐substituted (1H‐benzo[d]imidazol‐1‐yl)pyrimidine hybrids: synthetic sequence and the molecular and supramolecular structures of six examples

A concise and efficient synthesis of a series of amino‐substituted benzimidazole–pyrimidine hybrids has been developed, starting from the readily available N⁴‐(2‐aminophenyl)‐6‐methoxy‐5‐nitrosopyrimidine‐2,4‐diamine. In each of N⁵‐benzyl‐6‐methoxy‐4‐(2‐phenyl‐1H‐benzo[d]imidazol‐1‐yl)pyrimidine‐2,5‐diamine, C₂₅H₂₂N₆O, (I), 6‐methoxy‐N⁵‐(4‐methoxybenzyl)‐4‐[2‐(4‐methoxyphenyl)‐1H‐benzo[d]imidazol‐1‐yl]pyrimidine‐2,5‐diamine, C₂₇H₂₆N₆O₃, (III), 6‐methoxy‐N⁵‐(4‐nitrobenzyl)‐4‐[2‐(4‐nitrophenyl)‐1H‐benzo[d]imidazol‐1‐yl]pyrimidine‐2,5‐diamine, C₂₅H₂₀N₈O₅, (IV), the molecules are linked into three‐dimensional framework structures, using different combinations of N—H…N, N—H…O, C—H…O, C—H…N and C—H…π hydrogen bonds in each case. Oxidative cleavage of 6‐methoxy‐N⁵‐(4‐methylbenzyl)‐4‐[2‐(4‐methylphenyl)‐1H‐benzo[d]imidazol‐1‐yl]pyrimidine‐2,5‐diamine, (II), with diiodine gave 6‐methoxy‐4‐[2‐(4‐methylphenyl)‐1H‐benzo[d]imidazol‐1‐yl]pyrimidine‐2,5‐diamine, which crystallized as a monohydrate, C₁₉H₁₈N₆O·H₂O, (V), and reaction of (V) with trifluoroacetic acid gave two isomeric products, namely N‐{5‐amino‐6‐methoxy‐6‐[2‐(4‐methylphenyl)‐1H‐benzo[d]imidazol‐1‐yl]pyrimidin‐2‐yl}‐2,2,2‐trifluoroacetamide, which crystallized as an ethyl acetate monosolvate, C₂₁H₁₇F₃N₆O₂·C₄H₈O₂, (VI), and N‐{2‐amino‐6‐methoxy‐4‐[2‐(4‐methylphenyl)‐1H‐benzo[d]imidazol‐1‐yl]pyrimidin‐5‐yl}‐2,2,2‐trifluoroacetamide, which crystallized as a methanol monosolvate, C₂₁H₁₇F₃N₆O₂·CH₄O, (VIIa). For each of (V), (VI) and (VIIa), the supramolecular assembly is two‐dimensional, based on different combinations of O—H…N, N—H…O, N—H…N, C—H…O and C—H…π hydrogen bonds in each case. Comparisons are made with some related structures.     

Synthesis of 4‐Alkyl‐1(2H)‐phthalazinones and 4‐Alkyl‐2,3‐benzoxazin‐1‐ones via Ring Cleavage of 3‐Substituted N‐Alkylated‐3‐hydroxyisoindolin‐1‐ones

Abstract

N‐Alkyl (Me, Et, i‐Pr, t‐Bu)‐substituted phthalimdes 5a–d were easily transformed to 1(2H)‐phthalazinones 8d–i and 2,3‐benzoxazin‐1‐ones 9d, f, and j via a one‐pot addition–decyclization–cyclocondensation process.     

Synthesis of Tetra‐O‐acetyl‐1‐thio‐α‐d‐glucopyranose by Reaction of Tetra‐O‐acetyl‐α‐d‐glucopyranosyl Bromide with N,N‐Dimethylthioformamide

A reaction system was found to prepare tetra‐O‐acetyl‐1‐thio‐d‐glycopyranose in both α and β‐forms. Methanolysis of the adduct prepared from the reaction of tetra‐O‐acetyl‐α‐d‐glucopyranosyl bromide with N,N‐dimethylthioformamide afforded the corresponding tetra‐O‐acetyl‐1‐thio‐d‐glucopyranose with an anomer ratio α/β of 52:48 in 98% yield. The anomer mixture was easily separated by column chromatography to obtain the product of α‐form. This synthetic method is very convenient to proceed by one‐pot reaction under ordinary conditions.     

Conversion of d‐Galactose to d‐threo‐Hexos‐2,3‐diulose by Fungal Pyranose Oxidase

Pyranose oxidase (pyranose:O₂ 2‐oxidoreductase, EC 1.1.3.10) purified from mycelia of the basidiomycete fungi Trametes versicolor and Oudemansiella mucida catalyzed oxidation of d‐galactose successively at C‐2 and C‐3 to d‐threo‐hexos‐2,3‐diulose (2,3‐dehydro‐d‐galactose, 2,3‐diketo‐d‐galactose) in the yields up to 80%. The sites of oxidation were deduced from structures of the N,N‐diphenylhydrazone derivatives of the reaction products. Under the reaction conditions used, the diulose was susceptible to non‐enzymatic oxidative decarboxylation to d‐threo‐pentos‐2‐ulose (2‐dehydro‐d‐xylose, 2‐keto‐d‐xylose) in yields of 5–10%.     

Application of a Model Building Approach to Molecular Mechanics (MM3) for Calculating Low‐Energy Conformations of Tetra‐O‐Acyl‐N,N′‐Dialkyl‐D‐Glucaramides

A model building approach was used in conjunction with the MM3 molecular mechanics program to find the low‐energy conformations of three tetra‐O‐acyl‐N,N′‐dimethyl‐d‐glucaramide molecules: tetra‐O‐propanoyl‐(2), 2‐methylpropanoyl‐(3) and 2,2‐dimethylpropanoyl‐N,N′‐dimethyl‐d‐glucaramide (4), and tetra‐O‐acetyl‐N,N′‐dihexyl‐d‐glucaramide (5). A set of models was chosen for calculation of the low‐energy conformations of parent tetra‐O‐acetyl‐N,N′‐dimethyl‐d‐glucaramide (1), with additional models required to simulate conformationally more complex diamides 2–5. The dominant low‐energy conformations of 2 and 3 were very similar to that from 1, whereas very sterically constrained 4, with four bulky pendant O‐2,2‐dimethylpropanoyl groups, and 5, with terminal n‐hexyl groups, adopted different conformations. Stereoregular alternating head tail–tail head and repeating head tail–poly(hexamethylene 2,3,4,5‐tetra‐O‐acetyl‐D‐glucaramide) oligomers were graphically generated to provide some insight into the possible conformations of the actual acylated polyamides in nonpolar solution.     

Phase behaviour of nematic liquid crystal/linear polymer systems: Applicability of the extended Flory‐Huggins theory

Phase behaviour of nematic liquid crystals (N‐(p‐ethoxybenzylidene)‐p‐butylaniline and N‐(p‐methoxybenzylidene)‐p‐butylaniline) in linear polystyrene are investigated by thermo‐optical analysis. Results are compared to the model based on the extended Flory‐Huggins equation. The model used in this work includes two adjustable model parameters (d₀, d₁). The proposed semi‐empirical model gives a very good agreement with new data obtained for liquid crystal and polystyrene systems.     

Folded conformations due to arene interactions in dissymmetric and symmetric butylidene‐linker models based on pyrazolo[3,4‐d]pyrimidine,purine and 7‐deazapurine

The butylidene‐linker models 1‐[2‐(2,6‐dimethylsulfanyl‐9H‐purin‐9‐yl)‐2‐methylidenepropyl]‐4,6‐bis(methylsulfanyl)‐1H‐pyrazolo[3,4‐d]pyrimidine, C₁₈H₂₀N₈S₄, (XI), 7,7′‐(2‐methylidenepropane‐1,3‐diyl)bis[3‐methyl‐2‐methylsulfanyl‐3H‐pyrrolo[2,3‐d]pyrimidin‐4(7H)‐one], C₂₀H₂₂N₆O₂S₂, (XIV), and 7‐[2‐(4,6‐dimethylsulfanyl‐1H‐pyrazolo[3,4‐d]pyrimidin‐1‐yl)‐2‐methylidenepropyl]‐3‐methyl‐2‐methylsulfanyl‐3H‐pyrrolo[2,3‐d]pyrimidin‐4(7H)‐one, C₁₉H₂₁N₇OS₃, (XV), show folded conformations in solution, as shown by ¹H NMR analysis. This folding carries over to the crystalline state. Intramolecular π–π interactions are observed in all three compounds, but only (XIV) shows additional intramolecular C—H...π interactions in the solid state. As far as can be established, this is the first report incorporating the pyrrolo[2,3‐d]pyrimidine nucleus for such a study. In addition to the π–π interactions, the crystal structures are also stabilized by other weak intermolecular C—H...S/N/O and/or S...N/S interactions.     

Bis‐Triiodide von 1,2‐Ethandiaminkomplexen am Beispiel des Metalls Kupfer

In bis­(1,2‐ethanedi­amine‐N,N′)­bis­[tri­iodo(1?)‐I]copper, [Cu(I₃)₂­(C₂H₈N₂)₂], the triiodide anions form chains parallel to [001]. The central metal ion (site symmetry 2/m) of the complex cation is coordinated to four N atoms and to two I atoms. The geometry of the square‐bipyramidal complex is as expected, with d(Cu—N) = 2.006 (5) and d(Cu—I) = 3.3600 (9) Å.     

Disappearance of intramolecular stacking due to one‐atom movement or increment of a `propyl­ene linker' in pyrazolo­[3,4‐d]­pyrimidine‐based ­flexible models

In the crystal structures of 4,6‐di­methyl­thio‐1‐[3‐(4,6‐di­methyl­thio‐2H‐pyra­zolo­[3,4‐d]­py­rimi­din‐2‐yl)­propyl]‐1H‐py­ra­­zolo­[3,4‐d]­py­rimi­dine, C₁₇H₂₀N₈S₄, and 1‐[4‐(4‐meth­oxy‐6‐methyl­thio‐1H‐pyra­zolo­[3,4‐d]py­rimi­din‐1‐yl)­butyl]‐5‐meth­yl‐6‐methyl­thio‐4,5‐di­hydro‐1H‐pyra­zolo­[3,4‐d]py­rimi­din‐4‐one, C₁₈H₂₂N₈O₂S₂, only intermolecular stacking due to aromatic π–π interactions between pyrazolo­[3,4‐d]­pyrimidinerings is present.     

Four 7‐aryl‐substituted pyrido[2,3‐d]pyrimidine‐2,4(1H,3H)‐diones: similar molecular structures but different crystal structures

Molecules of 1,3‐dimethyl‐7‐(4‐methylphenyl)pyrido[2,3‐d]pyrimidine‐2,4(1H,3H)‐dione, C₁₆H₁₅N₃O₂, (I), are linked by paired C—H...O hydrogen bonds to form centrosymmetric R₂²(10) dimers, which are linked into chains by a single π–π stacking interaction. A single C—H...O hydrogen bond links the molecules of 7‐(biphenyl‐4‐yl)‐1,3‐dimethylpyrido[2,3‐d]pyrimidine‐2,4(1H,3H)‐dione, C₂₁H₁₇N₃O₂, (II), into C(10) chains, which are weakly linked into sheets by a π–π stacking interaction. In 7‐(4‐fluorophenyl)‐3‐methylpyrido[2,3‐d]pyrimidine‐2,4(1H,3H)‐dione, C₁₄H₁₀FN₃O₂, (III), an N—H...O hydrogen bond links the molecules into C(6) chains, which are linked into sheets by a π–π stacking interaction. The molecules of 7‐(4‐methoxyphenyl)‐3‐methylpyrido[2,3‐d]pyrimidine‐2,4(1H,3H)‐dione, C₁₅H₁₃N₃O₃, (IV), are also linked into C(6) chains by an N—H...O hydrogen bond, but here the chains are linked into sheets by a combination of two independent C—H...π(arene) hydrogen bonds.     

A stacked pyrazolo­[3,4‐d]­pyrimidine‐based flexible mol­ecule: the effect on stacking of a bulky iso­propyl group in comparison with a methyl/ethyl group

In the crystal structure of 1,3‐bis(4,6‐diiso­propyl­sulfanyl‐1H‐pyrazolo­[3,4‐d]­pyrimidin‐1‐yl)­propane, C₂₅H₃₆N₈S₄, the pairs of pyrazolo­[3,4‐d]­pyrimidine rings in the mol­ecule stack as a result of intramolecular π–π interactions between the heterocyclic rings. The crystal packing also exhibits an intermolecular C—H...π interaction between one methyl group of an iso­propyl group and a pyrazolo­[3,4‐d]­pyrimidine ring.